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Finding the Fourth Proportional to 7,875.63, 11,813.40 and 2,329.02

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Solution

The fourth proportional to 7,875.63, 11,813.40 and 2,329.02 is: 3,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.63 : 11,813.40 = 2,329.02 : x
  2. Step 2: Convert to fraction form
    7,875.63/11,813.40 = 2,329.02/x
  3. Step 3: Cross multiply
    7,875.63x = 11,813.40 × 2,329.02
  4. Step 4: Simplify right side
    7,875.63x = 27,513,644.87
  5. Step 5: Solve for x
    x = 27,513,644.87/7,875.63
  6. Step 6: Final answer
    x = 3,493.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.